Finding the Third Proportional to 9,776 and 13,198

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776 : 13,198 = 13,198 : x
2. Step 2: Convert to fraction form
   9,776/13,198 = 13,198/x
3. Step 3: Cross multiply
   9,776x = 13,198 × 13,198
4. Step 4: Simplify right side
   9,776x = 174,187,204
5. Step 5: Solve for x
   x = 174,187,204/9,776
6. Step 6: Final answer
   x = 17,817.84